Lesson 9(A)Scientific NotationDefinition: A number is in scientific notation when it is in the form mN 10, where N is an integer or decimal form, 101 N, and m is an integer.If m0, the number is larger than zero. If m < 0, the number is less than zero.A Writing numbers in scientific notation or finding a number from scientific notation1) In 1990 the National Health Care expenditures was $695,600,000,000. (Source: U.S. Centers for Medicare and Medicaid Services) Write this in scientific notation.2) President Bush's budget plan for 2003 was1210128.2$ . (Source: The Gazette, February 5, 2002) Write as a standard number.3) A grain of sand can weight as little as 0.0648 grams. (Source: textbook, p. 61) Write this weight in scientific notation.B Rounding and Significant DigitsWhen two or more measurements written in scientific notation are multiplied or divided, the result should be rounded so that it has the same number of significant digits as the measurement with the fewest significant digits. Always round at the end of calculations.Significant digits- 43,200 has 3 significant digits- 0.0032 has 2 significant digits- 4.10 has 3 significant digits-410506.4 has 4 significant digits1D Multiplication/Division with Scientific NotationMultiply or Divide and give answer using the correct number of significant digits.1))100.3)(100.7(812 2)53100.4108.43)mmmm )101.3()1031.2(22 4))101.6)(102.4(355)59100.41026.16)832101.3)102.3)(100.4(D Application Problems21) On October 28, 1998 an IBM computer could perform 8109.3 operations per second. This was 15,000 times faster than the normal desktop computer at the time. How many operations per second would a normal computer perform?(Source: IBM)2) The average distance from earth to the sun is 7103.9 miles. How long would ittake a rocket traveling 3109.2 miles per hour to reach the sun, if this was possible?3) A light year is approximately 121088.5 miles. If the diameter of the Milky Way galaxy is about 171088.5 miles, how many light years is it from one end of the galaxy to the other?4) An average of 111055.4 bacteria lives in a pound of mud in the U.S. (Source: Harper's Magazine, April 1996, p. 13) There are 16 ounces in a pound. If 6.0 teaspoons are in an ounce and 60 drops are in a teaspoon, how many bacteria live in a drop of
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